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Finding the Fourth Proportional to 352.98, 529.49 and 147.51

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Solution

The fourth proportional to 352.98, 529.49 and 147.51 is: 221.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.98 : 529.49 = 147.51 : x
  2. Step 2: Convert to fraction form
    352.98/529.49 = 147.51/x
  3. Step 3: Cross multiply
    352.98x = 529.49 × 147.51
  4. Step 4: Simplify right side
    352.98x = 78,105.07
  5. Step 5: Solve for x
    x = 78,105.07/352.98
  6. Step 6: Final answer
    x = 221.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.